Answer:
P(multiples of 12)=1/25
Step-by-step explanation:
Multiples of 12: 12, 24, 36, 48
That is 4/50=1/25
<span> <span><span> <span> <span> <span><span> <span> This is easy all you have to do is fill in the chart on the pdf. here I did it but you have to fill it in on your own. So just go from left to right starting at the top and fill it in, all except the dates which I didn't do.Hope this helped :)<span>
<span><span>
<span> Date, </span>
<span>
High, Temperature
</span>
<span>
Subtract current temperature minus previous temperature,</span><span>Difference, </span>
<span>
Low Temperature, </span>
<span>
Subtract current temperature minus previous temperature, </span>
<span>
Difference, </span>
</span>
<span>
<span>
</span>
<span>
93, </span>
<span>
-N/A-, </span>
<span>
-N/A- ,</span><span>
87, </span>
<span>
-N/A-, </span>
<span>
-N/A-, </span>
</span>
<span>
<span>
</span>
<span>
90 ,</span><span>
93-90=, </span>
<span>
-3 ,</span><span>
79, </span>
<span>
79-87, </span>
<span>
-8 ,</span></span><span><span>
</span>
<span>
93, </span>
<span>
93-90, </span>
<span>
3, </span>
<span>
81 ,</span><span>
81-79, </span>
<span>
2 ,</span></span><span><span>
</span>
<span>
91 ,</span><span>
91-93, </span>
<span>
-2 ,</span><span>
81 ,</span><span>
81-81, </span>
<span>
0, </span>
</span>
<span>
<span>
</span>
<span>
91, </span>
<span>
91-91, </span>
<span>
0, </span>
<span>
79, </span>
<span>
79-81, </span>
<span>
-2, </span>
</span>
<span>
<span>
</span>
<span>
95, </span>
<span>
95-91, </span>
<span>
4 ,</span><span>
79 ,</span><span>
79-79, </span>
<span>
0 ,</span></span><span><span>
</span>
<span>
95, </span>
<span>
95-95, </span>
<span>
0, </span>
<span>
79, </span>
<span>
79-79, </span>
<span>
0.</span></span></span></span><span><span><span><span><span><span><span><span>
</span> <span>
</span></span><span> </span> </span></span></span></span> </span></span></span></span> </span></span></span></span> </span></span>
Do you have choices?
The most simplified expression that is equal is
-27x-28
Answer:
Cost price of the burger = $4.15
Step-by-step explanation:
Given data:
3 burgers were ordered
3 medium fries were ordered
Total order cost 17.55
Let the price of the burger be X
Let the price of the medium fries be Y
<em>Equation for the total sale will be </em>3X + 3Y = 17.55 <em>(equation 1)</em>
<em>from this statement 'The price of a burger is .75 more than two times the price of medium fries.' </em>
X - 2Y = 0.75 <em>(equation 2)</em>
<em>There are now two equations and two unknowns, a simultaneous equation is solved to find the cost of the burger.</em>
<em>Many methods can be used to solve these equations but in this case substitution will be used</em>
<em>From equation 2 </em>
X = 0.75 + 2Y<em> (equation 3)</em>
<em>Substituting equation 3 into equation 1</em>
3(0.75 + 2Y) + 3Y = 17.55
2.25 + 6Y + 3Y = 17.55
6Y + 3Y = 17.55-2.25
9Y = 15.3
Y = 1.7
<em>Substituting Y into equation 3</em>
X = 0.75 + 2Y
X = 0.75 + 2(1.7)
X = 0.75 + 3.4
X = 4.15
Therefore the cost price of the burger is $4.15
Part 1
Focus on triangle ABC.
Since AB is a diameter of the circle, this means angle ACB is 90 degrees. Refer to Thale's Theorem. Or you could use the inscribed angle theorem. Thale's theorem is a special case of the inscribed angle theorem.
Minor arc CB is 48 degrees. Use the inscribed angle theorem to see that angle CAB is 48/2 = 24 degrees.
Therefore, angle CBA = 90 - (angle CAB) = 90 - 24 = 66 degrees
<h3>
Answer: 66</h3>
========================================================
Part 2
Inscribed angle CBA was found to be 66 degrees back in part 1.
This doubles to 132 degrees to represent minor arc AC.
Or you could note that:
minor arc AC = 180 - (minor arc CB) = 180 - 48 = 132
Inscribed angle BCD is 48 degrees. This doubles to 96 degrees when using the inscribed angle theorem, and this is the measure of minor arc CBD.
-----------
Here's what we know about the arc measures of the circle
- minor arc AC = 132 degrees
- minor arc CB = 48 degrees
- minor arc BD = 96 degrees
These three arcs, along with minor arc AD, will add up to get a full 360 degree circle. Check out the diagram below.
Adding those 3 pieces gets us 132+48+96 = 276
This means minor arc AD has to be 360 - 276 = 84 degrees
Then use the inscribed angle theorem one more time to divide the minor arc AD in half to get the inscribed angle ACD
84/2 = 42
<h3>
Answer: 42</h3>